Final answer:
To factor out the greatest common factor of 6 and 30, we identify that 6 is the GCF. Then we factor it out from both terms, simplifying to get 6 * (1 + 5), which equals 36.
Step-by-step explanation:
To apply the distributive property to factor out the greatest common factor (GCF) from the expression 6 + 30, first identify what number both terms in the expression are divisible by.
The GCF of 6 and 30 is 6.
Then, you can factor out this GCF from each term.
Factoring out the common factor would give us:
6(1) + 6(5) = 6 * (1 + 5) = 6 * 6 = 36
The distributive property allows us to multiply the common factor by the sum of the terms within the parentheses. This simplifies the algebra and ensures the equation remains balanced.